PI - Cognitive Assessment Cognitive Assessment Value Comparison Problems 1 — Questions and Answers
Question 1: Compare: 7/9 ___ 3/4
- > (Correct answer)
- <
- =
- Cannot be determined
Correct answer: >
Convert both to a common denominator of 36: 7/9 = 28/36 and 3/4 = 27/36. Since 28 > 27, we have 7/9 > 3/4.
Question 2: Which is greater: √80 or 9?
- √80
- 9 (Correct answer)
- They are equal
- Cannot be determined
Correct answer: 9
√80 ≈ 8.944, which is less than 9. Since 9² = 81 > 80, it follows that 9 > √80.
Question 3: Compare: 0.875 ___ 7/8
- >
- <
- = (Correct answer)
- Cannot be determined
Correct answer: =
7 ÷ 8 = 0.875 exactly, so 0.875 = 7/8. Both expressions represent the same value.
Question 4: Which is larger: 3² × 4 or 3 × 4²?
- 3² × 4
- 3 × 4² (Correct answer)
- They are equal
- Cannot be determined
Correct answer: 3 × 4²
3² × 4 = 9 × 4 = 36, while 3 × 4² = 3 × 16 = 48. Since 48 > 36, the expression 3 × 4² is larger.
Question 5: Compare: 5/6 ___ 7/8
- >
- < (Correct answer)
- =
- Cannot be determined
Correct answer: <
Converting to a common denominator of 24: 5/6 = 20/24 and 7/8 = 21/24. Since 20 < 21, we have 5/6 < 7/8.
Question 6: Compare: √36 + 2 ___ 2³
- >
- <
- = (Correct answer)
- Cannot be determined
Correct answer: =
√36 = 6, so √36 + 2 = 8. And 2³ = 2 × 2 × 2 = 8. Both sides equal 8, so the result is =.
PI - Cognitive Assessment Cognitive Assessment Value Comparison Problems 1
Compare: 7/9 ___ 3/4